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Finding the Fourth Proportional to 1,722.25, 2,582.92 and 748.13

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Solution

The fourth proportional to 1,722.25, 2,582.92 and 748.13 is: 1,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.25 : 2,582.92 = 748.13 : x
  2. Step 2: Convert to fraction form
    1,722.25/2,582.92 = 748.13/x
  3. Step 3: Cross multiply
    1,722.25x = 2,582.92 × 748.13
  4. Step 4: Simplify right side
    1,722.25x = 1,932,347.96
  5. Step 5: Solve for x
    x = 1,932,347.96/1,722.25
  6. Step 6: Final answer
    x = 1,121.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.